Mathematical Picture Language
We began to record our seminars in March 2020, once we started to meet by Zoom. Perhaps sharing them does a small amount toward replacing the personal interaction that we miss within our scientific community. In any case we hope that our unprofessional snapshots of these events will spread some joy, and perhaps they can even help some viewers in their own research.
The Mathematical Picture Language Project represents our attempt to re-evaluate ways that one can use pictures, both to gain mathematical insights, and moreover to prove mathematical theorems. We are also working to develop some practical implementations of our theoretical work. One can learn more from the links on the bottom of the photo above or at https://mathpicture.fas.harvard.edu
Yasuyuki Kawahigashi | Oct 23, 2025 | Tensor networks, fusion categories and operator algebras
Zhengwei Liu | May 15, 2025 | A New Way to Understand Computational Complexity
Zhengwei Liu | Apr 15, 2025 | Alterfold Theory and Quantum Error Correction
Zhengwei Liu | Apr 8, 2025 | Alterfold Theory and Entanglement Entropy
Michael Douglas | March 11, 2025 | AI in math and theoretical physics: status and prospects
Madelyn Cain | Feb 25, 2025 | Low overhead fault tolerance for universal quantum computation
Elia Portnoy | Dec 3, 2024 | Local Quantum Error Correcting Codes
Arthur Parzygnat | Nov 26, 2024 | A temporal analogue of quantum states for sequential measurements
Liyuan Chen | Nov 12, 2024 | Universal Circuit Set with an S3 Quantum Double
Zhengwei Liu | Oct 29, 2024 | Insights on Analysis Meeting Topology in Quantum Field Theory
Kaifeng Bu | Oct 16, 2024 | A universal framework for Gaussian testing
Seth Lloyd | October 2, 2024 | Quantum Algorithms for Computing Homology
Yuanjie Ren | September 24, 2024 | Solving the problem of preparing solvable anyons with constant-
Mike Freedman|September 10, 2024 | What can ML learn from the proof of the Kolmogorov-Arnold theorem
Shu-Heng Shao | May 6, 2024 | What's Done Cannot Be Undone: Non-Invertible Symmetries
Dolev Bluvstein | April 16, 2024 | Logical Quantum Processor Based on Reconfigurable Atom Arrays
Yufei Zhao | April 2, 2024 | Equiangular lines and eigenvalue multiplicity
Robert Huang|March 26, 2024|Certifying almost all quantum states with few single-qubit measurements
Jacob Fox | February 21, 2024 | Subset Sums
Frederick Manners, | January 30, 2024 | Inverse theorems and approximate structure
Ryan Babbush| Dec 14, 2023 |The search for valuable applications of fault-tolerant quantum computers
Dimitri Shlyakhtenko | Dec 5, 2023 | Free dimension
David Evans | Nov 28, 2023 | On Quantum Symmetry
Alina Vdovina | Nov 14, 2023 | Higher dimensional digraphs from cube complexes and their spectral...
Steven Girvin | Nov 7, 2023 | Adventures in Phase Space: Non-commuting coordinates meet quantum...
Daniel Spielman | October 31, 2023 | Discrepancy Theory and Randomized Controlled Trials
Tzu-Chieh Wei | October 24, 2023 | Learning marginals suffices!
Graeme Smith | October 17, 2023 | Mathematical challenges in quantum information theory
Madhu Sudan | October 3, 2023 | Proof and Computation
Ken Duffy|Sep 26, 2023|Intro to Forward Error Correction and Guessing Random Additive Noise Decoding